Volume 120, Number 5, December 2017
|Number of page(s)||7|
|Published online||23 February 2018|
Entanglement dynamics following a sudden quench: An exact solution
1 Theory Division, Saha Institute of Nuclear Physics, HBNI - 1/AF Bidhannagar, Kolkata 700064, India
2 Variable Energy Cyclotron Centre, HBNI - 1/AF Bidhannagar, Kolkata 700064, India
Received: 13 November 2017
Accepted: 1 February 2018
We present an exact and fully analytical treatment of the entanglement dynamics for an isolated system of N coupled oscillators following a sudden quench of the system parameters. The system is analyzed using the solutions of the time-dependent Schrodinger's equation, which are obtained by solving the corresponding nonlinear Ermakov equations. The entanglement entropies exhibit a multi-oscillatory behaviour, where the number of dynamically generated time scales increases with N. The harmonic chains exhibit entanglement revival and for larger values of N (> 10), we find near-critical logarithmic scaling for the entanglement entropy, which is modulated by a time-dependent factor. The N = 2 case is equivalent to the two-site Bose-Hubbard model in the tunneling regime, which is amenable to empirical realization in cold-atom systems.
PACS: 03.67.Bg – Entanglement production and manipulation / 03.65.Ud – Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) / 03.65.-w – Quantum mechanics
© EPLA, 2018
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